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Finding the Third Proportional to 479,882 and 1,029,586

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Solution

The third proportional to 479,882 and 1,029,586 is: 2,208,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,882 : 1,029,586 = 1,029,586 : x
  2. Step 2: Convert to fraction form
    479,882/1,029,586 = 1,029,586/x
  3. Step 3: Cross multiply
    479,882x = 1,029,586 × 1,029,586
  4. Step 4: Simplify right side
    479,882x = 1,060,047,331,396
  5. Step 5: Solve for x
    x = 1,060,047,331,396/479,882
  6. Step 6: Final answer
    x = 2,208,974.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.